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Simplifying 9(13 + -1x) + -4x = 5(21 + -2) + 9x (13 * 9 + -1x * 9) + -4x = 5(21 + -2) + 9x (117 + -9x) + -4x = 5(21 + -2) + 9x Combine like terms: -9x + -4x = -13x 117 + -13x = 5(21 + -2) + 9x Combine like terms: 21 + -2 = 19 117 + -13x = 5(19) + 9x Multiply 5 * 19 117 + -13x = 95 + 9x Solving 117 + -13x = 95 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 117 + -13x + -9x = 95 + 9x + -9x Combine like terms: -13x + -9x = -22x 117 + -22x = 95 + 9x + -9x Combine like terms: 9x + -9x = 0 117 + -22x = 95 + 0 117 + -22x = 95 Add '-117' to each side of the equation. 117 + -117 + -22x = 95 + -117 Combine like terms: 117 + -117 = 0 0 + -22x = 95 + -117 -22x = 95 + -117 Combine like terms: 95 + -117 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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